{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.model_selection import train_test_split\n",
    "from pandas.plotting import parallel_coordinates\n",
    "from sklearn.tree import DecisionTreeClassifier, plot_tree\n",
    "from sklearn import metrics\n",
    "from sklearn.naive_bayes import GaussianNB\n",
    "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis, QuadraticDiscriminantAnalysis\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "from sklearn.svm import SVC\n",
    "from sklearn.linear_model import LogisticRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# load through url\n",
    "url = 'http://archive.ics.uci.edu/ml/machine-learning-databases/iris/iris.data'\n",
    "attributes = [\"sepal_length\", \"sepal_width\", \"petal_length\", \"petal_width\", \"class\"]\n",
    "dataset = pd.read_csv(url, names = attributes)\n",
    "dataset.columns = attributes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
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       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal_length</th>\n",
       "      <th>sepal_width</th>\n",
       "      <th>petal_length</th>\n",
       "      <th>petal_width</th>\n",
       "      <th>class</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.7</td>\n",
       "      <td>3.2</td>\n",
       "      <td>1.3</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.6</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.6</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Iris-setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>6.7</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.2</td>\n",
       "      <td>2.3</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>6.3</td>\n",
       "      <td>2.5</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.9</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>6.5</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.2</td>\n",
       "      <td>2.0</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>6.2</td>\n",
       "      <td>3.4</td>\n",
       "      <td>5.4</td>\n",
       "      <td>2.3</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>149</th>\n",
       "      <td>5.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.1</td>\n",
       "      <td>1.8</td>\n",
       "      <td>Iris-virginica</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>150 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     sepal_length  sepal_width  petal_length  petal_width           class\n",
       "0             5.1          3.5           1.4          0.2     Iris-setosa\n",
       "1             4.9          3.0           1.4          0.2     Iris-setosa\n",
       "2             4.7          3.2           1.3          0.2     Iris-setosa\n",
       "3             4.6          3.1           1.5          0.2     Iris-setosa\n",
       "4             5.0          3.6           1.4          0.2     Iris-setosa\n",
       "..            ...          ...           ...          ...             ...\n",
       "145           6.7          3.0           5.2          2.3  Iris-virginica\n",
       "146           6.3          2.5           5.0          1.9  Iris-virginica\n",
       "147           6.5          3.0           5.2          2.0  Iris-virginica\n",
       "148           6.2          3.4           5.4          2.3  Iris-virginica\n",
       "149           5.9          3.0           5.1          1.8  Iris-virginica\n",
       "\n",
       "[150 rows x 5 columns]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal_length</th>\n",
       "      <th>sepal_width</th>\n",
       "      <th>petal_length</th>\n",
       "      <th>petal_width</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>150.000000</td>\n",
       "      <td>150.000000</td>\n",
       "      <td>150.000000</td>\n",
       "      <td>150.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>5.843333</td>\n",
       "      <td>3.054000</td>\n",
       "      <td>3.758667</td>\n",
       "      <td>1.198667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.828066</td>\n",
       "      <td>0.433594</td>\n",
       "      <td>1.764420</td>\n",
       "      <td>0.763161</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>4.300000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.100000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>5.100000</td>\n",
       "      <td>2.800000</td>\n",
       "      <td>1.600000</td>\n",
       "      <td>0.300000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>5.800000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>4.350000</td>\n",
       "      <td>1.300000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>6.400000</td>\n",
       "      <td>3.300000</td>\n",
       "      <td>5.100000</td>\n",
       "      <td>1.800000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>7.900000</td>\n",
       "      <td>4.400000</td>\n",
       "      <td>6.900000</td>\n",
       "      <td>2.500000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       sepal_length  sepal_width  petal_length  petal_width\n",
       "count    150.000000   150.000000    150.000000   150.000000\n",
       "mean       5.843333     3.054000      3.758667     1.198667\n",
       "std        0.828066     0.433594      1.764420     0.763161\n",
       "min        4.300000     2.000000      1.000000     0.100000\n",
       "25%        5.100000     2.800000      1.600000     0.300000\n",
       "50%        5.800000     3.000000      4.350000     1.300000\n",
       "75%        6.400000     3.300000      5.100000     1.800000\n",
       "max        7.900000     4.400000      6.900000     2.500000"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# or load through local csv\n",
    "data = pd.read_csv('./data/data.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal_length</th>\n",
       "      <th>sepal_width</th>\n",
       "      <th>petal_length</th>\n",
       "      <th>petal_width</th>\n",
       "      <th>species</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.7</td>\n",
       "      <td>3.2</td>\n",
       "      <td>1.3</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.6</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.6</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   sepal_length  sepal_width  petal_length  petal_width species\n",
       "0           5.1          3.5           1.4          0.2  setosa\n",
       "1           4.9          3.0           1.4          0.2  setosa\n",
       "2           4.7          3.2           1.3          0.2  setosa\n",
       "3           4.6          3.1           1.5          0.2  setosa\n",
       "4           5.0          3.6           1.4          0.2  setosa"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "sepal_length    float64\n",
       "sepal_width     float64\n",
       "petal_length    float64\n",
       "petal_width     float64\n",
       "species          object\n",
       "dtype: object"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# types for the columns\n",
    "data.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
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       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal_length</th>\n",
       "      <th>sepal_width</th>\n",
       "      <th>petal_length</th>\n",
       "      <th>petal_width</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>150.000000</td>\n",
       "      <td>150.000000</td>\n",
       "      <td>150.000000</td>\n",
       "      <td>150.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>5.843333</td>\n",
       "      <td>3.054000</td>\n",
       "      <td>3.758667</td>\n",
       "      <td>1.198667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.828066</td>\n",
       "      <td>0.433594</td>\n",
       "      <td>1.764420</td>\n",
       "      <td>0.763161</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>4.300000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.100000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>5.100000</td>\n",
       "      <td>2.800000</td>\n",
       "      <td>1.600000</td>\n",
       "      <td>0.300000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>5.800000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>4.350000</td>\n",
       "      <td>1.300000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>6.400000</td>\n",
       "      <td>3.300000</td>\n",
       "      <td>5.100000</td>\n",
       "      <td>1.800000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>7.900000</td>\n",
       "      <td>4.400000</td>\n",
       "      <td>6.900000</td>\n",
       "      <td>2.500000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       sepal_length  sepal_width  petal_length  petal_width\n",
       "count    150.000000   150.000000    150.000000   150.000000\n",
       "mean       5.843333     3.054000      3.758667     1.198667\n",
       "std        0.828066     0.433594      1.764420     0.763161\n",
       "min        4.300000     2.000000      1.000000     0.100000\n",
       "25%        5.100000     2.800000      1.600000     0.300000\n",
       "50%        5.800000     3.000000      4.350000     1.300000\n",
       "75%        6.400000     3.300000      5.100000     1.800000\n",
       "max        7.900000     4.400000      6.900000     2.500000"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# numerical summary, only applies to numerical columns\n",
    "data.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "species\n",
       "setosa        50\n",
       "versicolor    50\n",
       "virginica     50\n",
       "dtype: int64"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# number of instances in each class\n",
    "data.groupby('species').size()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Take out a test set\n",
    "train, test = train_test_split(data, test_size = 0.4, stratify = data['species'], random_state = 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "60"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "species\n",
       "setosa        30\n",
       "versicolor    30\n",
       "virginica     30\n",
       "dtype: int64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# number of instances in each class in training data\n",
    "train.groupby('species').size()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# histograms\n",
    "n_bins = 10\n",
    "fig, axs = plt.subplots(2, 2)\n",
    "axs[0,0].hist(train['sepal_length'], bins = n_bins);\n",
    "axs[0,0].set_title('Sepal Length');\n",
    "axs[0,1].hist(train['sepal_width'], bins = n_bins);\n",
    "axs[0,1].set_title('Sepal Width');\n",
    "axs[1,0].hist(train['petal_length'], bins = n_bins);\n",
    "axs[1,0].set_title('Petal Length');\n",
    "axs[1,1].hist(train['petal_width'], bins = n_bins);\n",
    "axs[1,1].set_title('Petal Width');\n",
    "\n",
    "# add some spacing between subplots\n",
    "fig.tight_layout(pad=1.0);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# boxplots using seaborn\n",
    "fig, axs = plt.subplots(2, 2)\n",
    "fn = [\"sepal_length\", \"sepal_width\", \"petal_length\", \"petal_width\"]\n",
    "cn = ['setosa', 'versicolor', 'virginica']\n",
    "sns.boxplot(x = 'species', y = 'sepal_length', data = train, order = cn, ax = axs[0,0]);\n",
    "sns.boxplot(x = 'species', y = 'sepal_width', data = train, order = cn, ax = axs[0,1]);\n",
    "sns.boxplot(x = 'species', y = 'petal_length', data = train, order = cn, ax = axs[1,0]);\n",
    "sns.boxplot(x = 'species', y = 'petal_width', data = train,  order = cn, ax = axs[1,1]);\n",
    "# add some spacing between subplots\n",
    "fig.tight_layout(pad=1.0);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/rv/yswp4nwd7nnfx84kd1ggbltc0000gn/T/ipykernel_29877/1537492343.py:13: UserWarning: \n",
      "\n",
      "`distplot` is a deprecated function and will be removed in seaborn v0.14.0.\n",
      "\n",
      "Please adapt your code to use either `displot` (a figure-level function with\n",
      "similar flexibility) or `histplot` (an axes-level function for histograms).\n",
      "\n",
      "For a guide to updating your code to use the new functions, please see\n",
      "https://gist.github.com/mwaskom/de44147ed2974457ad6372750bbe5751\n",
      "\n",
      "  ax1 = sns.distplot(setosa_pl, color=\"blue\", label=\"Setosa\", ax = axs[0]);\n",
      "/var/folders/rv/yswp4nwd7nnfx84kd1ggbltc0000gn/T/ipykernel_29877/1537492343.py:15: UserWarning: \n",
      "\n",
      "`distplot` is a deprecated function and will be removed in seaborn v0.14.0.\n",
      "\n",
      "Please adapt your code to use either `displot` (a figure-level function with\n",
      "similar flexibility) or `histplot` (an axes-level function for histograms).\n",
      "\n",
      "For a guide to updating your code to use the new functions, please see\n",
      "https://gist.github.com/mwaskom/de44147ed2974457ad6372750bbe5751\n",
      "\n",
      "  ax1 = sns.distplot(versicolor_pl, color=\"red\", label=\"Versicolor\", ax = axs[0]);\n",
      "/var/folders/rv/yswp4nwd7nnfx84kd1ggbltc0000gn/T/ipykernel_29877/1537492343.py:16: UserWarning: \n",
      "\n",
      "`distplot` is a deprecated function and will be removed in seaborn v0.14.0.\n",
      "\n",
      "Please adapt your code to use either `displot` (a figure-level function with\n",
      "similar flexibility) or `histplot` (an axes-level function for histograms).\n",
      "\n",
      "For a guide to updating your code to use the new functions, please see\n",
      "https://gist.github.com/mwaskom/de44147ed2974457ad6372750bbe5751\n",
      "\n",
      "  ax1 = sns.distplot(virginica_pl, color=\"green\", label=\"Virginica\", ax = axs[0]);\n",
      "/var/folders/rv/yswp4nwd7nnfx84kd1ggbltc0000gn/T/ipykernel_29877/1537492343.py:18: UserWarning: \n",
      "\n",
      "`distplot` is a deprecated function and will be removed in seaborn v0.14.0.\n",
      "\n",
      "Please adapt your code to use either `displot` (a figure-level function with\n",
      "similar flexibility) or `histplot` (an axes-level function for histograms).\n",
      "\n",
      "For a guide to updating your code to use the new functions, please see\n",
      "https://gist.github.com/mwaskom/de44147ed2974457ad6372750bbe5751\n",
      "\n",
      "  ax2 = sns.distplot(setosa_pw, color=\"blue\", label=\"Setosa\", ax = axs[1]);\n",
      "/var/folders/rv/yswp4nwd7nnfx84kd1ggbltc0000gn/T/ipykernel_29877/1537492343.py:20: UserWarning: \n",
      "\n",
      "`distplot` is a deprecated function and will be removed in seaborn v0.14.0.\n",
      "\n",
      "Please adapt your code to use either `displot` (a figure-level function with\n",
      "similar flexibility) or `histplot` (an axes-level function for histograms).\n",
      "\n",
      "For a guide to updating your code to use the new functions, please see\n",
      "https://gist.github.com/mwaskom/de44147ed2974457ad6372750bbe5751\n",
      "\n",
      "  ax2 = sns.distplot(versicolor_pw, color=\"red\", label=\"Versicolor\", ax = axs[1]);\n",
      "/var/folders/rv/yswp4nwd7nnfx84kd1ggbltc0000gn/T/ipykernel_29877/1537492343.py:21: UserWarning: \n",
      "\n",
      "`distplot` is a deprecated function and will be removed in seaborn v0.14.0.\n",
      "\n",
      "Please adapt your code to use either `displot` (a figure-level function with\n",
      "similar flexibility) or `histplot` (an axes-level function for histograms).\n",
      "\n",
      "For a guide to updating your code to use the new functions, please see\n",
      "https://gist.github.com/mwaskom/de44147ed2974457ad6372750bbe5751\n",
      "\n",
      "  ax2 = sns.distplot(virginica_pw, color=\"green\", label=\"Virginica\", ax = axs[1]);\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# right off the bat, we see that petal length/width can separate setosa from the others\n",
    "# histogram by species\n",
    "setosa_pl = train.loc[train.species=='setosa', 'petal_length']\n",
    "versicolor_pl = train.loc[train.species=='versicolor', 'petal_length']\n",
    "virginica_pl = train.loc[train.species=='virginica', 'petal_length']\n",
    "setosa_pw = train.loc[train.species=='setosa', 'petal_width']\n",
    "versicolor_pw = train.loc[train.species=='versicolor', 'petal_width']\n",
    "virginica_pw = train.loc[train.species=='virginica', 'petal_width']\n",
    "\n",
    "fig, axs = plt.subplots(1, 2)\n",
    "# set figure size\n",
    "fig.set_size_inches(10,4)\n",
    "ax1 = sns.distplot(setosa_pl, color=\"blue\", label=\"Setosa\", ax = axs[0]);\n",
    "ax1.set_title('Petal Length By Species')\n",
    "ax1 = sns.distplot(versicolor_pl, color=\"red\", label=\"Versicolor\", ax = axs[0]);\n",
    "ax1 = sns.distplot(virginica_pl, color=\"green\", label=\"Virginica\", ax = axs[0]);\n",
    "\n",
    "ax2 = sns.distplot(setosa_pw, color=\"blue\", label=\"Setosa\", ax = axs[1]);\n",
    "ax2.set_title('Petal Width By Species')\n",
    "ax2 = sns.distplot(versicolor_pw, color=\"red\", label=\"Versicolor\", ax = axs[1]);\n",
    "ax2 = sns.distplot(virginica_pw, color=\"green\", label=\"Virginica\", ax = axs[1]);\n",
    "\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.violinplot(x=\"species\", y=\"petal_length\", data=train, size=5, order = cn, palette = 'colorblind');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 660.75x576 with 20 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# bivariate relationship\n",
    "# scatterplot matrix\n",
    "sns.pairplot(train, hue=\"species\", height = 2, palette = 'colorblind');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/rv/yswp4nwd7nnfx84kd1ggbltc0000gn/T/ipykernel_29877/3489535888.py:2: FutureWarning: The default value of numeric_only in DataFrame.corr is deprecated. In a future version, it will default to False. Select only valid columns or specify the value of numeric_only to silence this warning.\n",
      "  corrmat = train.corr()\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# correlation matrix\n",
    "corrmat = train.corr()\n",
    "sns.heatmap(corrmat, annot = True, square = True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# parallel coordinates\n",
    "parallel_coordinates(train, \"species\", color = ['blue', 'red', 'green']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Model development\n",
    "X_train = train[['sepal_length','sepal_width','petal_length','petal_width']]\n",
    "y_train = train.species\n",
    "X_test = test[['sepal_length','sepal_width','petal_length','petal_width']]\n",
    "y_test = test.species"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The accuracy of the Decision Tree is 0.983\n"
     ]
    }
   ],
   "source": [
    "# first try decision tree\n",
    "mod_dt = DecisionTreeClassifier(max_depth = 3, random_state = 1)\n",
    "mod_dt.fit(X_train,y_train)\n",
    "prediction=mod_dt.predict(X_test)\n",
    "print('The accuracy of the Decision Tree is',\"{:.3f}\".format(metrics.accuracy_score(prediction,y_test)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.        , 0.        , 0.42430866, 0.57569134])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mod_dt.feature_importances_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set figure size\n",
    "plt.figure(figsize = (10,8))\n",
    "plot_tree(mod_dt, feature_names = fn, class_names = cn, filled = True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/wangfeng/miniconda3/envs/rascil/lib/python3.10/site-packages/sklearn/base.py:465: UserWarning: X does not have valid feature names, but DecisionTreeClassifier was fitted with feature names\n",
      "  warnings.warn(\n",
      "/var/folders/rv/yswp4nwd7nnfx84kd1ggbltc0000gn/T/ipykernel_29877/1455546880.py:25: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored\n",
      "  plt.scatter(X_test.iloc[idx, 2], X_test.iloc[idx, 3], c=color,\n"
     ]
    },
    {
     "data": {
      "image/png": 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Ain6xAkVrKSr7S83CwgJfffUVtm7dijp16qBz586YPn06kpOTy93v+vXr8PX1VbsKA/hveLv4j36xevXqqT0v/oNS0YSqZcuW6NatG7p164Z+/fphxYoV6NWrFz799FPV2pfr16/DxMQEDRs2VNvX1dUVjo6OJWKqjKfFX3xsX19ftX7Ozs5qfzwBQKlU4ttvv4Wvry8sLCxQu3ZtODs749SpU0hPTy/x2j4+PiXaHB0d8eKLL2LVqlWqtpUrV8Ld3R1du3Z96vm4ublh/vz5SEpKwoULF/Ddd9/B2dkZEyZMKDHV5+HhUSI5rlmzptr3rqKfhzp16sDX11ftj3FwcDA6d+6M27dv4+rVq9i/fz+USmWpyU1VP0e6OF52djZ69eqFzMxMbNy4sdJTJMWX3hf/zJclODgYSUlJuHz5smptVWBgoFrSs2/fPnTq1KnE96EynnxPgJLf78q6dOkSgKJE/cnfY4sXL0ZeXp7qsz99+nScOXMGnp6eCAgIwKRJk6qUWFVEad+DzZs3o2PHjrC0tISTkxOcnZ0xf/78Un9GS5Obm4sJEybA09NT7ec8LS2twseozpjcyMzNmzeRnp6u+gNd/L+Z0aNHq0Yunnw8+ce8skaOHImLFy8iJiYGlpaWGD9+PJo2bYrjx49X+XyKmZqaltr+5ChBZTz77LN4+PAhDh06pNZe1ihVRRQWFpbars34p02bhujoaHTu3BkrVqzAtm3bsGPHDjRv3rzUy5WfHLUpFh4ejqtXr+LAgQPIzMzEpk2b8MYbb1TqD5tCoUCjRo0wfPhwxMXFwcTEpMT9g7T9vXvmmWewb98+5Obm4ujRowgODkaLFi3g6OiIffv2Yd++fbC1tUXr1q1L7KvtWKp6vPz8fPTp0wenTp3Cxo0bNRoxOXPmDAA89ef4mWeeAVA06rVv3z60adMGNjY2quQmKysLx48fLzUprAxd/KwWf66//vrrMn+PFSeF/fr1w9WrVzFnzhzUrVsXX3/9NZo3b46tW7dq/PpP8+T3YN++fXjppZdgaWmJefPmYcuWLdixYwfefPPNCr8Pw4cPx9SpU9GvXz+sXbtWta6qVq1aer+3kTHigmKZWb58OQAgLCwMAFC/fn0ARUP8T94740kNGjRQ/ZBWVoMGDTBq1CiMGjUKly5dQqtWrTBjxowSV20V8/LywqlTp6BUKtX+mCYkJKi261pBQQGA//7X5eXlBaVSiUuXLqktkExJSUFaWppaTDVr1kRaWpra8fLz85GUlKRRLMXHvnTpkup7BhQt8Hzyf7zr169Hly5dSoyQpKWlVWox6vPPPw9nZ2esXLkSHTp0QE5ODgYMGKBR/EDRZ61mzZoavQeV+TwEBwdj6dKlWL16NQoLCxEUFAQTExNV0nP+/HkEBQWV+UfWUCiVSoSHhyM2NhZr165FSEiIRsdZvnw5FAoFunfvXm6/evXqoV69eti3bx+uXr2qSmI6d+6M6OhorFu3DoWFhejcuXO5x6lK8q+p4kW29vb2T/09BhSNLA4bNgzDhg1Damoq2rRpg6lTp6oWsGvzHLKysrBhwwZ4enqqfm/88ssvsLS0xLZt22BhYaHqu3Tp0hL7lxXL+vXrERERgRkzZqjaHj58WOL3DpWOIzcysmvXLnzxxRfw8fHBW2+9BQBwcXFBaGgoFi5cWOofnccvR3711Vdx8uTJUq8KKut/Gzk5OXj48KFaW4MGDWBnZ1fi8unHvfDCC0hOTla7WqigoABz5syBra2txr/oK2Pz5s0AAH9/f1VMAErcubT45lzFVzgARedYvO6j2KJFi8ocuXmabt26wczMDHPmzFF7r0u7i6qpqWmJ78e6detUa6cqqkaNGnjjjTewdu1aLFu2DC1btqzQzR8PHjyI7OzsEu2HDh3CvXv30Lhx40rFAVTu81D8R/mrr76Cn58fHBwcVO2xsbE4cuRIlUcf9GH48OFYs2YN5s2bV+Jy7Ir68ssvsX37dvTv37/ElGZpgoODsWvXLhw6dEj1HhXfJfnLL79UXbJcHhsbGwDQ6x/Ztm3bokGDBvjmm29KvQN28e+xwsLCElM2Li4uqFu3rtrvIxsbG61M7eTm5mLAgAG4f/8+PvvsM1WiYmpqCoVCofb74J9//in1TsQ2Njalvpel/ZzPmTNH498x1Q1HbozU1q1bkZCQgIKCAqSkpGDXrl3YsWMHvLy8sGnTJrV7jcydOxfPPPMMWrZsiXfffRf169dHSkoK4uPjcfPmTdX9UT7++GOsX78effv2xeDBg9G2bVvcv38fmzZtwoIFC1RJwOMuXryIZ599Fv369UOzZs1Qo0YNbNiwASkpKXj99dfLjP+9997DwoULMXDgQBw9ehTe3t5Yv3499u/fj1mzZj11/UBl7du3T5WEFZ/T3r178frrr6NJkyYAipKciIgILFq0CGlpaQgJCcGhQ4fw448/onfv3ujSpYvqeEOGDMHQoUPx6quvonv37jh58iS2bdtW6ct4izk7O2P06NGIiYlBr1698MILL+D48ePYunVriWP26tULU6ZMwaBBgxAUFITTp09j5cqVaiM+FRUeHo7vvvsOu3fvrvDl0MuXL8fKlSvxyiuvoG3btjA3N8f58+fxww8/wNLSEuPGjat0HJX5PDRs2BCurq64cOEChg8frmrv3LkzxowZAwAGn9zMmjUL8+bNQ2BgIKytrUuMcL7yyiuqJAIoSvSK+zx8+BDXr1/Hpk2bcOrUKXTp0gWLFi2q0OsGBwdj5cqVUCgUqmkqU1NTBAUFYdu2bQgNDYW5uXm5x2jVqhVMTU3x1VdfIT09HRYWFujatStcXFwq8xZUiomJCRYvXowePXqgefPmGDRoENzd3XHr1i3s3r0b9vb2+P3335GZmQkPDw+89tpr8Pf3h62tLXbu3InDhw+rjYC0bdsWa9asQXR0NNq3bw9bW1u8+OKL5cZw69Yt1fcgKysL586dw7p165CcnIxRo0bh/fffV/Xt2bMnZs6cieeffx5vvvkmUlNTMXfuXDRs2FDtXkPFsezcuRMzZ85E3bp14ePjgw4dOqBXr15Yvnw5HBwc0KxZM8THx2Pnzp2oVauWFt9ZGZPkGi3SWPGlxcUPc3Nz4erqKrp37y5mz56tumT2SVeuXBHh4eHC1dVVmJmZCXd3d9GrVy+xfv16tX737t0TUVFRwt3dXZibmwsPDw8REREh7t69K4QoeSn43bt3RWRkpGjSpImwsbERDg4OokOHDmLt2rVqx33yUnAhhEhJSRGDBg0StWvXFubm5qJly5Yl7kha/HqlXWqOMi7Hflxpl4Kbm5uLJk2aiKlTp4r8/Hy1/o8ePRKTJ08WPj4+wszMTHh6eoqxY8eqXUYvhBCFhYVizJgxonbt2sLa2lqEhYWJy5cvl3kp+JOX7hfH9fjltIWFhWLy5MnCzc1NWFlZidDQUHHmzJkSx3z48KEYNWqUql+nTp1EfHx8ife4rLszP6l58+bCxMRE3Lx5s9x+xU6dOiU+/vhj0aZNG+Hk5CRq1Kgh3NzcRN++fcWxY8fU+pZ1h+InL60WomKfh2LFlzCvWbNG1Zafny+sra2Fubm52l2ShfjvUvA7d+6otRd/f65du1buOZd1Kbimn8uIiIhSb1FQ/Hg8nif7WltbC29vb/Hqq6+K9evXV+qO02fPnhUARNOmTdXa/+///k8AKHEZuhCl3yH7+++/F/Xr1xempqZqn+OyLpku7ee/PGXdofj48eOiT58+olatWsLCwkJ4eXmJfv36idjYWCFE0W0GPv74Y+Hv7y/s7OyEjY2N8Pf3L3H34KysLPHmm28KR0dHAeCpl4UXX+IOQCgUCmFvby+aN28u3n33XXHw4MFS91myZInw9fUVFhYWokmTJmLp0qWqz+HjEhISROfOnYWVlZXabR8ePHig+nmwtbUVYWFhIiEhQat3LJczhRBVWOVFREavdevWcHJyQmxsrNShEBFpBdfcEFVjR44cwYkTJxAeHi51KEREWsORG6Jq6MyZMzh69ChmzJiBu3fv4urVq6XWhCIiMkYcuSGqhtavX49Bgwbh0aNH+Pnnn5nYEJGscOSGiIiIZIUjN0RERCQrTG6IiIhIVpjcEBERkawwuSEiIiJZYXJDREREssLkhoiIiGSFyQ0RERHJCpMbIiIikhUmN0RERCQrTG6IiIhIVpjcEBERkawwuSEiIiJZYXJDREREssLkhoiIiGSFyQ0RERHJCpMbIiIikhUmN0RERCQrTG6IiIhIVpjcEBERkawwuSEiIiJZYXJDREREssLkhoiIiGSFyQ0RERHJCpMbIiIikhUmN0RERCQrTG6IiIhIVpjcEBERkawwuSEiIiJZqSF1APqmVCpx+/Zt2NnZQaFQSB0OERERVYAQApmZmahbty5MTMofm6l2yc3t27fh6ekpdRhERESkgRs3bsDDw6PcPtUuubGzswMAtH/lf6hhZiVxNERERFQRBY9ycXhDlOrveHmqXXJTPBVVw8wKNcysJY6GiIiIKqMiS0q4oJiIiIhkhckNERERyQqTGyIiIpIVJjdEREQkK0xuiIiISFaY3BAREZGsMLkhIiIiWWFyQ0RERLLC5IaIiIhkhckNERERyQqTGyIiIpIVJjdEREQkK0xuiIiISFaY3BAREZGsMLkhIiIiWWFyQ0RERLLC5IaIiIhkhckNERERyQqTGyIiIpIVJjdEREQkK0xuiIiISFaY3BAREZGsMLkhIiIiWWFyQ0RERLLC5IaIiIhkhckNERERyQqTGyIiIpIVJjdEREQkK0xuiIiISFaY3BAREZGsMLkhIiIiWWFyQ0RERLLC5IaIiIhkhckNERERyQqTGyIiIpIVJjdEREQkK0xuiIiISFaY3BAREZGsMLkhIiIiWWFyQ0RERLLC5IaIiIhkhckNERERyQqTGyIiIpIVJjdEREQkK0xuiIiISFaY3BAREZGsMLkhIiIiWWFyQ0RERLLC5IaIiIhkhckNERERyQqTGyIiIpIVJjdEREQkK0xuiIiISFYkTW5iYmLQvn172NnZwcXFBb1798aFCxfK3WfZsmVQKBRqD0tLSz1FTERERIZO0uRm7969iIyMxN9//40dO3bg0aNHeO6555CdnV3ufvb29khKSlI9rl+/rqeIiYiI/pOTkYT7t04gNyNJ6lDoMTWkfPE///xT7fmyZcvg4uKCo0ePonPnzmXup1Ao4OrqquvwiIiISvUoLwsJ++chLem4qs3RrTWadBoGMwtbCSMjwMDW3KSnpwMAnJycyu2XlZUFLy8veHp64uWXX8bZs2f1ER4REREAFCU2yf8AWAEgEcAKpCX/g4T986QNjABIPHLzOKVSiZEjR6JTp05o0aJFmf0aN26MH374AX5+fkhPT8c333yDoKAgnD17Fh4eHiX65+XlIS8vT/U8IyNDJ/ETEVH1kJOR9O+IzQoAb/3b+hYgBNKSBiA3IwlW9m4SRkgGM3ITGRmJM2fOYPXq1eX2CwwMRHh4OFq1aoWQkBD8+uuvcHZ2xsKFC0vtHxMTAwcHB9XD09NTF+ETEVE18TAz5d9/Pbl8IgQAkKvaTlIxiOQmKioKmzdvxu7du0sdfSmPmZkZWrdujcuXL5e6fezYsUhPT1c9bty4oY2QiYiomrK0q/Pvv+Ke2LIXAGCl2k5SkXRaSgiB4cOHY8OGDdizZw98fHwqfYzCwkKcPn0aL7zwQqnbLSwsYGFhUdVQiYiIAADW9m5wdGuNtOThgBAoGrHZCyg+hKNra05JGQBJR24iIyOxYsUKrFq1CnZ2dkhOTkZycjJyc3NVfcLDwzF27FjV8ylTpmD79u24evUqjh07hrfffhvXr1/HkCFDpDgFIiKqhpp0GgZHV28AAwDUAzAAjq7eaNJpmLSBEQCJR27mz58PAAgNDVVrX7p0KQYOHAgASExMhInJfznYgwcP8O677yI5ORk1a9ZE27ZtceDAATRr1kxfYRMRUTVnZmGLll0/QW5GEnIzU2BlV4cjNgZEIYQQUgehTxkZGXBwcEBgvyWoYWYtdThERERUAQWPchC/9h2kp6fD3t6+3L4GsaCYiIiISFuY3BAREZGsGMxN/IiIiAxRTkYSHnJdjVFhckNERFQK1o8yXpyWIiIiKgXrRxkvjtwQERE9gfWjjBtHboiIiJ7A+lHGjckNERHRE1g/yrhxWoqIiOgJrB9l3DhyQ0REVArWjzJeHLkhIiIqBetHGS8mN0REROWwsndjUmNkOC1FREREssLkhoiIiGSF01JERGRQyqvlVJU6T6wRVX0wuSEiIoNQXi0nABrXeWKNqOqH01JERGQQyqvlVJU6T6wRVf1w5IaIiCT3tFpORSpf54k1oqonjtwQEZHknlbLqbxt5dV5Yo2o6onJDRERSe5ptZzK21ZenSfWiKqeOC1FRESSe1otJwAa1XlijajqickNEREZhCadhv17VdMAVZuj65NXS5W+rSrHJflRCCGE1EHoU0ZGBhwcHBDYbwlqmFlLHQ4RET2hvFpOVanzxBpRxq3gUQ7i176D9PR02Nvbl9uXIzdERGRQyqvlVJU6T6wRVX1wQTERERHJCpMbIiIikhUmN0RERCQrXHNDRERUDk0LbrJQp3SY3BAREZVC04KbLNQpPU5LERERlULTgpss1Ck9jtwQERE9QdOCmyzUaRg4ckNERPQETQtuslCnYWByQ0RE9ARNC26yUKdh4LQUERHREzQtuMlCnYaBIzdERESlaNJpGBxdvQEMAFAPwAA4uno/teCmpvuR9nDkhoiIqBRmFrZo2fWTShfc1HQ/0h4mN0REROXQtOAmC3VKh9NSREREJCtMboiIiEhWOC1FRESkZ6w7pVtMboiIiPSEdaf0g9NSREREesK6U/rBkRsiIiI9YN0p/eHIDRERkR6w7pT+MLkhIiLSA9ad0h9OSxEREekB607pD0duiIiI9IR1p/SDIzdERER6wrpT+sHkhoiISM9Yd0q3OC1FREREssLkhoiIiGRF0uQmJiYG7du3h52dHVxcXNC7d29cuHDhqfutW7cOTZo0gaWlJVq2bIktW7boIVoiIpJaTkYS7t86gdyMJKlDoaeQ8nsl6ZqbvXv3IjIyEu3bt0dBQQHGjRuH5557DufOnYONjU2p+xw4cABvvPEGYmJi0KtXL6xatQq9e/fGsWPH0KJFCz2fARER6QNrMhkPQ/heKYQQQi+vVAF37tyBi4sL9u7di86dn7yDY5H+/fsjOzsbmzdvVrV17NgRrVq1woIFC576GhkZGXBwcEBgvyWoYWattdiJiEh3Tu+aXlSTScxB0R1+4wDFcDi6eqNl108kjo4ep6vvVcGjHMSvfQfp6emwt7cvt69BXS2Vnp4OAHByciqzT3x8PKKjo9XawsLC8Ntvv5XaPy8vD3l5earnGRkZVQ+UiIj0hjWZjIehfK8MZkGxUqnEyJEj0alTp3Knl5KTk1GnjvotquvUqYPk5ORS+8fExMDBwUH18PT01GrcRESkW6zJZDwM5XtlMMlNZGQkzpw5g9WrV2v1uGPHjkV6errqcePGDa0en4iIdIs1mYyHoXyvDGJaKioqCps3b0ZcXBw8PDzK7evq6oqUFPXMLyUlBa6urqX2t7CwgIWFhdZiJSIi/WJNJuNhKN8rSUduhBCIiorChg0bsGvXLvj4+Dx1n8DAQMTGxqq17dixA4GBgboKk4iIJMaaTMbDEL5Xko7cREZGYtWqVdi4cSPs7OxU62YcHBxgZWUFAAgPD4e7uztiYmIAACNGjEBISAhmzJiBnj17YvXq1Thy5AgWLVok2XkQEZFusSaT8TCE75Wkyc38+fMBAKGhoWrtS5cuxcCBAwEAiYmJMDH5b4ApKCgIq1atwueff45x48bB19cXv/32G+9xQ0RUDbAmk/GQ8ntlUPe50Qfe54aIiMj4VOY+NwZztRQRERGRNjC5ISIiIlkxiEvBiYiIqionIwkPudiYwOSGiIiMnCEUaiTDwmkpIiIyagn75xUVasQKAIkAViAt+R8k7J8nbWAkGY7cEBGR0TKUQo1kWDhyQ0RERstQCjWSYWFyQ0RERstQCjWSYeG0FBERGS1DKdRIhoUjN0REZNQMoVAjGRaO3BARkVEzhEKNZFiY3BARkSywqCYV47QUERERyQqTGyIiIpIVTksREZHGyqvndP/2SWTevQz72r6oWddPoggrRhd1qQyp1pUhxaIPTG6IiKjSyqvnVJCfjRPbJqEgL021rYaFI1qFTTK4+87ooi6VIdW6MqRY9InTUkREVGnl1XMqSmyE2raCPIET2yZJF3AZdFGXypBqXRlSLPrEkRsiIqqUp9VzKvLENggU5A3Ag9unDGaKShd1qQyp1pUhxaJvHLkhIqJKeVo9p/K2Zdy9pKOoKk8XdakMqdaVIcWibxqP3MTGxiI2NhapqalQKpVq23744YcqB0ZERIZJvZ7TW49t2fvYv0vfZl/bV6exVcbTzkOT9UG6OKamDCkWfdMouZk8eTKmTJmCdu3awc3NDQqFQttxERGRgXpaPaes+9dQkBcJ4LFtiEINC0eDmZICdFOXypBqXRlSLPqmEEKIyu7k5uaG6dOnY8CAAU/vbGAyMjLg4OCAwH5LUMPMWupwiIiMEq+W0u8xNWVIsVRVwaMcxK99B+np6bC3ty+3r0bJTa1atXDo0CE0aNBA4yClwuSGiEh7yqvn9OD2KWTcvWQU97nRRV0qQ6p1ZUixaErnyc2YMWNga2uL8ePHaxykVJjcEBERGZ/KJDcVXnMTHR2t+rdSqcSiRYuwc+dO+Pn5wczMTK3vzJkzKxkyERERkXZUOLk5fvy42vNWrVoBAM6cOaPVgIiIiIiqosLJze7du3UZBxER6Zgh1RcypFhIfjS6FHzw4MGYPXs27Ozs1Nqzs7MxfPhw3ueGiMiAGNIVM4/ysnApfg7u3Tqlaqvl7gffwOFGd/UOGS6N7lD8448/Ijc3t0R7bm4ufvrppyoHRURE2mNI9YUuxc9BXvoZjBsHrFkDjBsH5KWfwaX4OXqPheSrUiM3GRkZEEJACIHMzExYWlqqthUWFmLLli1wcXHRepBERKQZQ6ovlJORhHu3TmHcOKB796K2oq9KTJt2Sta1jki/KpXcODo6QqFQQKFQoFGjRiW2KxQKTJ48WWvBERFR1VSkvpC+EoriWPz91duLn+szFpK3SiU3u3fvhhACXbt2xS+//AInJyfVNnNzc3h5eaFu3bpaD1IX/Lo1gLk153eJSN4eJJnj7B6grPpCbXp1gKNrPb3GcvLkfyM3QNFzfcdCxic/JwvxayvWt1LJTUhIUaZ/7do11KtXz6hrSn3V/QLs7aykDoOISOfubG2FnXuHo7Dwv/pCpqYfoltIK/w4MAvAOb3Fcm9bS8z931kASvj7FyU2c/9ngh7dmus9FjIuGZm5WFjBvhW+Q/GpU6ee3ulffn6Ge5vt4jsUp11byOSGiKqFB2nZePO9hdi264SqLaxrK6xa9D5qOtroPZa3h87D1p2nVW09urXEigXD9B4LGZeMzFw4+ryv3fILJiYmUCgUEEI8dcSmsLCw4tHqGZMbIqquLl1JxuVrKWjoUwe+DVwZCxmVyiQ3FZ6Wunbtmurfx48fx+jRo/Hxxx8jMDAQABAfH48ZM2Zg+vTpGoZNRES65NvA1WASCUOKheSnwsmNl5eX6t99+/bFd999hxdeeEHV5ufnB09PT4wfPx69e/fWapBEREREFaXRTfxOnz4NHx+fEu0+Pj44d46LwYiIiEg6GiU3TZs2RUxMDPLz81Vt+fn5iImJQdOmTbUWHBEREVFlaVRbasGCBXjxxRfh4eGhujLq1KlTUCgU+P3337UaIBERacfFy0m48k9qpRfxarofkVQ0Sm4CAgJw9epVrFy5EgkJCQCA/v37480334SNDS/lIyIyJPcfZGHAB/Mrffm1pvsRSa3Cl4LLBS8FJ6LqpufrX+PAobOIjFK/cV5QQHP8sfpjre9HpAs6uRR806ZN6NGjB8zMzLBp06Zy+7700ksVPSwREenQxctJ2LrzdBnFKk/j0pXkUqeaNN2PyBBUOLnp3bs3kpOT4eLiUu6l3gqFwqBv4kdEVJ1c+ScVQNnFKi9fSyk1SdF0PyJDUOGrpZRKJVxcXFT/LuvBxIaIyHA08C76vV1cnLJY8fOGPnW0uh+RIdBoQfHDhw9haWmp7ViIiEjLGjV0Q49uZRerLGv0RdP9iAyBRguKLS0tERAQgJCQEISGhiIoKAhWVsaxOJcLiomoutG0WCWLXJIh0UnhzMf99ddfiIuLw549e3DgwAEUFBSgXbt2qmSne/HqMwPE5IaIqitNi1Vqs8jlPZuuVdqfqq/MjEzUr9NUd8nN4woKCnD48GEsXLgQK1euNPh1N0xuiIiksSntecyYGCt1GGSkCh7lIH7tO9q9FPxJFy9exJ49e1SPvLw89OrVC6GhoZoekoiIiKjKNEpu3N3dkZubi9DQUISGhmLMmDHw8/ODQqHQdnxERERElaJR4UxnZ2fk5OQgOTkZycnJSElJQW5ubqWPExcXhxdffBF169aFQqHAb7/9Vm7/PXv2QKFQlHgkJydrchpERAap6AZ6J3HpinZ/t02duRHPvhyDr2YZdg3AnIwk3L91ArkZSVKHQkZKo5GbEydOIC0tDXFxcdi7dy/GjRuHc+fOoVWrVujSpQumTp1aoeNkZ2fD398fgwcPRp8+fSr8+hcuXFCbbyu+/w4RkTHTVS2nXXFn8Xy/r1BQUPR89/7zGP/lOuz8dSw6BzWtatha8ygvCwn75yEt6biqzdGtNZp0GgYzC1sJIyNjU+UFxffu3cOePXuwceNG/PzzzxovKFYoFNiwYUO5dz/es2cPunTpggcPHsDR0VGjeLmgmIgMla5qOZm7hsPCAhgxAqrjzp4N5OUB+ck/afEMyve0BcWnd01HWvI/gJgDoDOAOEAxHI6u3mjZ9RN9hUkGqjILijWalvr111/x4Ycfws/PD3Xq1MEHH3yArKwszJgxA8eOHdMo6Mpo1aoV3Nzc0L17d+zfv7/cvnl5ecjIyFB7EBEZmuJaTpFRSnTvDri4FNVyioxSYuvO0xpPUU2duREFBUWJzePHHTECKCiAwUxR5WQkFY3YiDkA3gLgWfRVfIe0pOOcoqJK0Si5GTp0KG7fvo333nsPx48fR2pqqirh8X+yEIkWubm5YcGCBfjll1/wyy+/wNPTE6GhoeUmVDExMXBwcFA9PD09dRYfEZGmKlLLSRO79p4r97jbd5/R6Lja9jCz+Pw6P7ElBACQm6nZ+VP1pNGam9TU1Ar1+/LLLzF06FCNp5Ce1LhxYzRu3Fj1PCgoCFeuXMG3336L5cuXl7rP2LFjER0drXqekZHBBIeIDM7jtZwevw9qVWs5dQ1pht37z5d53Oe6tNDouNpmaVd8fnEoGrkpthcAYGXHWlZUcRqN3FTUtGnTcP/+fV2+BAICAnD58uUyt1tYWMDe3l7tQURkaP6r5WSCHTuA1FRgx47iWk4tNb4z8GfRL6NGjaI1No8fd/ZsoEYNYMzIF7V8JpqxtneDo1trQDEcwAoAN4q+Kj6Eo1trWNm7SRwhGRONb+JXEVVcq1whJ06cgJsbP/REZPxWLBiGt4fOw7Rpj18t1RwrFgyr0nF3/joW3frEYNq0/9pq1ChqNyRNOg3792qpAao2R9eiq6WIKkOnyc3TZGVlqY26XLt2DSdOnICTkxPq1auHsWPH4tatW/jpp6LV/LNmzYKPjw+aN2+Ohw8fYvHixdi1axe2b98u1SkQEWlNTUcb/LH6Y63WcgKAzkFNkZ/8E76a9Tu27z6D57q0MJgRm8eZWdiiZddPkJuRhNzMFFjZ1eGIDWlE0uTmyJEj6NKli+p58dqYiIgILFu2DElJSUhMTFRtz8/Px6hRo3Dr1i1YW1vDz88PO3fuVDsGEZGx823gqpWk5kljRr5okEnNk6zs3ZjUUJVImtyEhoaWO3W1bNkyteeffPIJPvmE9zogIiKisul0QTERERGRvuk0uQkODoaVFe8CTERERPpT4WmpytzZt/hy6y1btlQ+IiIi0tjFy0m48k+q1hYj6+qYxiQnIwkPucDZqFQ4uXF0dIRCoSi3jxACCoVCo9pSRESkOV0U3dRVIU9jwUKexqvCyc3u3bt1GQcREVXBgA/m48Chsxg3Do8V3TyLt4fO07jopi6OaUwS9s8rKuSJFSgu5JmWPBwJ++exkKeBq3ByExISoss4iIhIQ8VFN8eN+6/EQtFXJaZNKyq6WdnpJF0c05ioCnliBf4rB/EWIATSkgYgNyOJU1QGrEqXgufk5CAxMRH5+flq7X5+flUKioiIKq4iRTcrm4jo4pjGpCKFPJncGC6Nkps7d+5g0KBB2Lp1a6nbueaGiEh/dFF0U1eFPI0FC3kaN40uBR85ciTS0tJw8OBBWFlZ4c8//8SPP/4IX19fbNq0SdsxEhFROXRRdFNXhTyNBQt5GjeNRm527dqFjRs3ol27djAxMYGXlxe6d+8Oe3t7xMTEoGfPntqOk4iIyqGLopu6KuRpLFjI03hplNxkZ2fDxaVoyLJmzZq4c+cOGjVqhJYtW+LYsWNaDZCIiJ5OF0U3dVXI01iwkKfx0ii5ady4MS5cuABvb2/4+/tj4cKF8Pb2xoIFC+Dmxm88EZFUdFF0U1eFPI0FC3kaH42SmxEjRiApKQkAMHHiRDz//PNYuXIlzM3NSxS7JCIiItInjZKbt99+W/Xvtm3b4vr160hISEC9evVQu3ZtrQVHREREVFkaXS01ZcoU5OTkqJ5bW1ujTZs2sLGxwZQpU7QWHBGRMSu6Ed5JXLqSrLfj6mIbkbFRCCFEZXcyNTVFUlKSalFxsXv37sHFxcWg73OTkZEBBwcHpF1bCHs7ViwnIu3TVU2m8o4rhND6Nm3Xj9qU9jxmTIzV6jGp+ih4lIP4te8gPT1dVaC7LBpNSxUXyHzSyZMn4eTkpMkhiYhkQ1c1mco7LgCtb6sO9aNIniqV3NSsWRMKhQIKhQKNGjVSS3AKCwuRlZWFoUOHaj1IIiJjoauaTE87LgCtb5N7/SiSr0olN7NmzYIQAoMHD8bkyZPh4OCg2mZubg5vb28EBgZqPUgiImOhq5pMTzuuLrbJvX4UyVelkpuIiAgAgI+PDzp16oQaNapUd5OISHZ0VZPpacfVxTa5148i+dIoOwkJCcGVK1ewdOlSXLlyBbNnz4aLiwu2bt2KevXqoXnz5tqOk4jIKPxXk+ksAOVj61hM0KNbc41HQp52XABa38ZRGzJWGiU3e/fuRY8ePdCpUyfExcVh6tSpcHFxwcmTJ7FkyRKsX79e23ESERkNXdVketpxdbGNyBhpdCl4YGAg+vbti+joaNjZ2eHkyZOoX78+Dh06hD59+uDmzZu6iFUreCk4EemLrmoylXdcXWzTFl4KTlWh80vBT58+jVWrVpVod3Fxwd27dzU5JBGR7OiqJlN5x9XFNiJjo9Edih0dHVW1pR53/PhxuLu7VzkoIiIiIk1plNy8/vrrGDNmDJKTk6FQKKBUKrF//36MHj0a4eHh2o6RiIiIqMI0Sm6mTZuGJk2awNPTE1lZWWjWrBmCg4MRFBSEzz//XNsxEhEREVWYRmtuzM3N8f3332PChAk4ffo0srOz0bp1azRs2FDb8RERERFVisZ34VuyZAm+/fZbXLp0CQDg6+uLkSNHYsiQIVoLjoiIiKiyNEpuJkyYgJkzZ2L48OGqcgvx8fH46KOPkJiYiClTpmg1SCIiIqKK0ii5mT9/Pr7//nu88cYbqraXXnoJfn5+GD58OJMbIiIikoxGC4ofPXqEdu3alWhv27YtCgoKqhwUERERkaY0Sm4GDBiA+fPnl2hftGgR3nrrrSoHRURERKSpKi0o3r59Ozp27AgAOHjwIBITExEeHo7o6GhVv5kzZ1Y9SiIiIqIK0ii5OXPmDNq0aQMAuHLlCgCgdu3aqF27Ns6cOaPqp1AotBAiERERUcVplNzs3r1b23EQERERaYVGa26IiIiIDBWTGyIiIpIVJjdEREQkKxpfLUVEBAAXLyfhyj+paOhTB74NXKUOR++q+/kTGSImN0SkkfsPsjDgg/nYuvO0qq1Ht5ZYsWAYajraSBiZflT38ycyZJyWIiKNDPhgPg4cOotx44A1a4Bx44ADh87i7aHzpA5NL6r7+RMZMo7cEFGlXbychK07T2PcOKB796K2oq9KTJt2GpeuJMt6iqa6nz+RoePIDRFV2pV/UgEA/v7q7cXPL19L0XNE+lXdz5/I0DG5IaJKa+DtAgA4eVK9vfh5Q586eo5Iv6r7+RMZOk5LEVGlNWrohh7dWmLu/84CUMLfv+gP+9z/maBHt+ayn5Kp7udPZOiY3BCRRlYsGIa3h87DtGmPXy3UHCsWDJMwKv2p7udPZMiY3BCRRmo62uCP1R/j0pVkXL6WUu3u81Ldz5/IkDG5IaIq8W3gWq3/qFf38ycyRFxQTERERLIiaXITFxeHF198EXXr1oVCocBvv/321H327NmDNm3awMLCAg0bNsSyZct0HicREREZD0mTm+zsbPj7+2Pu3LkV6n/t2jX07NkTXbp0wYkTJzBy5EgMGTIE27Zt03GkRKRv23adwhdf/4Ydu08/vbMRKroR4ElcupIsdShEsiPpmpsePXqgR48eFe6/YMEC+Pj4YMaMGQCApk2b4q+//sK3336LsLAwXYVJRHp05VoKOr0wGal3slRtLs62iP9zEny8XCSMTDtYk4pI94xqzU18fDy6deum1hYWFob4+HiJIiIibev0wmRk52Sp1WzKzslC4POTpA5NK1iTikj3jCq5SU5ORp066nf+rFOnDjIyMpCbm1vqPnl5ecjIyFB7EJFh2rbrFFLvZGHEiKJaTS4uRV9HjABS72QZ/RRVcU2qyCil2vlFRimxdedpTlERaYlRJTeaiImJgYODg+rh6ekpdUhEVIZDR68CKLtm099Hrug5Iu1iTSoi/TCq5MbV1RUpKeo//CkpKbC3t4eVlVWp+4wdOxbp6emqx40bN/QRKhFpIKBtfQBl12zq2K6BniPSLtakItIPo7qJX2BgILZs2aLWtmPHDgQGBpa5j4WFBSwsLHQdGhFpQVhXP7g422L27KLFxMU1m2bPLlpU3L1LS4kjrBrWpCLSD0mTm6ysLFy+fFn1/Nq1azhx4gScnJxQr149jB07Frdu3cJPP/0EABg6dCj+97//4ZNPPsHgwYOxa9curF27Fn/88YdUp0BEWhb/5yQEPj8J06aVvFpKDliTikj3JE1ujhw5gi5duqieR0dHAwAiIiKwbNkyJCUlITExUbXdx8cHf/zxBz766CPMnj0bHh4eWLx4MS8DJ5IRHy8XJJ+fhx27T+PvI1fQsV0Dox+xeRxrUhHpnkIIIaQOQp8yMjLg4OCAtGsLYW9X+jodIiLSvk1pz2PGxFipwyAjVfAoB/Fr30F6ejrs7e3L7WtUC4qJiIiInobJDREREckKkxsiIiKSFSY3REREJCtMboiIiEhWmNwQERGRrDC5ISIiIllhckNERESywuSGiIiIZIXJDREREckKkxsiIiKSFSY3REREJCtMboiIiEhWmNwQERGRrDC5ISIiIllhckNERESywuSGiIiIZIXJDREREckKkxsiIiKSFSY3REREJCtMboiIiEhWmNwQERGRrDC5ISIiIllhckNERESywuSGiIiIZIXJDREREckKkxsiIiKSFSY3REREJCtMboiIiEhWmNwQERGRrNSQOgAiIqoeOrnnI7aHr9RhkJHKz8lC/NqK9VUIIYRuwzEsGRkZcHBwwDaPhrAxMZU6HCIiIqqAbGUhwm5eRnp6Ouzt7cvty2kpIiIikhUmN0RERCQrTG6IiIhIVpjcEBERkawwuSEiIiJZYXJDREREssLkhoiIiGSFN/Ejo5T4KB+3CvLhUcMcnmbmUodDREQGhMkNGZWMwkJ8ce824h/mqNoCLa0xvnZd2POmjEREBE5LkZH54t5tJDzMwQoAiQBWAEh4mIMv7t6WODIiIjIUHLkho5H4KB/x/yY2b/3b9hYAAWDAwxzceJTPKSoiIuLIDRmPWwX5AIDOT7SH/Pv15r/biYioemNyQ0bDvUbRqEzcE+17//3qUYOjNkRExGkpMiL1zMwRaGmN4Q9zIFA0YrMXwIcoWlTMKSkiIgI4ckNGZnztumhiaY0BAOoBGACgyb9XSxEREQEcuSEjY29iiq9dPHHjUT5u8j43RERUCiY3ZJQ8zZjUEBFR6TgtRURERLLC5IaIiIhkxSCSm7lz58Lb2xuWlpbo0KEDDh06VGbfZcuWQaFQqD0sLS31GC0REREZMsmTmzVr1iA6OhoTJ07EsWPH4O/vj7CwMKSmppa5j729PZKSklSP69ev6zFiMnSJj/IRn5uFG494Uz8ioupI8gXFM2fOxLvvvotBgwYBABYsWIA//vgDP/zwAz799NNS91EoFHB1ddVnmGQEWFSTiIgAiUdu8vPzcfToUXTr1k3VZmJigm7duiE+Pr7M/bKysuDl5QVPT0+8/PLLOHv2rD7CJQPHoppERARInNzcvXsXhYWFqFOnjlp7nTp1kJycXOo+jRs3xg8//ICNGzdixYoVUCqVCAoKws2bN0vtn5eXh4yMDLUHyU9xUc05KCqm6fnv1+8AxP9bVJOIiKoHydfcVFZgYCDCw8PRqlUrhISE4Ndff4WzszMWLlxYav+YmBg4ODioHp6ennqOmPSBRTWJiKiYpMlN7dq1YWpqipSUFLX2lJSUCq+pMTMzQ+vWrXH58uVSt48dOxbp6emqx40bN6ocNxkeFtUkIqJikiY35ubmaNu2LWJjY1VtSqUSsbGxCAwMrNAxCgsLcfr0abi5uZW63cLCAvb29moPkh9VUU0UrbW58e9XFtUkIqp+JL9aKjo6GhEREWjXrh0CAgIwa9YsZGdnq66eCg8Ph7u7O2JiYgAAU6ZMQceOHdGwYUOkpaXh66+/xvXr1zFkyBApT4MMwPjadfHF3dsYUMrVUkREVH1Intz0798fd+7cwYQJE5CcnIxWrVrhzz//VC0yTkxMhInJfwNMDx48wLvvvovk5GTUrFkTbdu2xYEDB9CsWTOpToEMBItqEhERACiEEELqIPQpIyMDDg4O2ObREDa89wkREZFRyFYWIuzmZaSnpz91iYnRXS1FREREVB4mN0RERCQrkq+5ISpL4qN83OLaGSIiqiQmN2RwWCOKiIiqgtNSZHBYI4qIiKqCIzdkUIprRK1AUW0o/PtVABjwb40oTlEREVF5OHJDBoU1ooiIqKqY3JBBYY0oIiKqKk5LkUFR1Yh6mAOBohGbvWCNKCIiqjiO3JDBGV+7LppYWmMAgHoABgBowhpRRERUQRy5IYPDGlFERFQVTG7IYHmaMakhIqLK47QUERERyQqTGyIiIpIVTkuRzum7RhRrUhERVW9Mbkhn9F0jijWpiIgI4LQU6ZC+a0SxJhUREQEcuSEd0XeNKNakIiKiYhy5IZ3Qd40o1qQiIqJiTG5IJ/RdI4o1qYiIqBinpUgn9F0jijWpiIioGEduSGf0XSOKNamIiAjgyA3pkL5rRLEmFRERAUxuSA/0XSOKNamIiKo3TksRERGRrDC5ISIiIllhckNERESywjU3pFKVgpMHc7NxLi8XzS2sEGBlo7btp7S7OPwwBwGW1hjgWFtt2+bMNBx7mIO2ltboaedY4WOWt42FM4mIqjcmN1SlgpO3HuXjg5TruK9UqtqcTEww39ULyY/yMerOLRT82348PxdLMu5hposHbBQmGJaSiLx/t23PzcTMBymY51oPtgrTMo8JgTK32SlMWTiTiIigEEIIqYPQp4yMDDg4OGCbR0PY8A8eAODj1BtIeJiDOSgqXxAHYDiK7hHztYtnufu+dPMSCpVKzH1s30gApiYmyFAqYQOU2JYNwBSAZSnbHgKwMTEp85gAytzW2NxS4/MgIiLDlq0sRNjNy0hPT4e9vX25fTlyU81VpeDkwdxs3FcqS9/335GVuaVtA1AAYEkZ2/KecsyytrFwJhERAVxQXO1VpeDkubzccvc1pG0snElEVH0wuanmqlJwspmFVbn7GtI2Fs4kIqo+OC1VzVWl4GQHKxs4mZggUqlU2zcKRYt8M5RKRAIlttVA0Zqb0rZZoGjNTVnHBFDmtsbmliycSUREXFBMQIayEF/c1fBqqYJ8fJBc+tVLKQWPEJ16U3W1FFCU2Mx08YCNiQmGJf93tRRQlNjMc60HWxPTMo8JoMxtdiamGp8HEREZtsosKGZyQypVKTh5KDcbZ8u478zytLs4VMZ9bv7ITMPRMu5zU94xy9vGwplERPLD5KYcTG6IiIiMT2WSGy4oJiIiIllhckNERESywuSGiIiIZIXJDREREckKkxsiIiKSFSY3REREJCtMboiIiEhWmNwQERGRrDC5ISIiIllhckNERESywuSGiIiIZIXJDREREckKkxsiIiKSFSY3REREJCsGkdzMnTsX3t7esLS0RIcOHXDo0KFy+69btw5NmjSBpaUlWrZsiS1btugpUiIiIjJ0kic3a9asQXR0NCZOnIhjx47B398fYWFhSE1NLbX/gQMH8MYbb+Cdd97B8ePH0bt3b/Tu3RtnzpzRc+RERERkiBRCCCFlAB06dED79u3xv//9DwCgVCrh6emJ4cOH49NPPy3Rv3///sjOzsbmzZtVbR07dkSrVq2wYMGCp75eRkYGHBwcsM2jIWxMTLV3IkRERKQz2cpChN28jPT0dNjb25fbV9KRm/z8fBw9ehTdunVTtZmYmKBbt26Ij48vdZ/4+Hi1/gAQFhZWZn8iIiKqXmpI+eJ3795FYWEh6tSpo9Zep04dJCQklLpPcnJyqf2Tk5NL7Z+Xl4e8vDzV8/T0dABAtlJZldCJiIhIj4r/bldkwknS5EYfYmJiMHny5BLtfW5flSAaIiIiqorMzEw4ODiU20fS5KZ27dowNTVFSkqKWntKSgpcXV1L3cfV1bVS/ceOHYvo6GjV87S0NHh5eSExMfGpb051k5GRAU9PT9y4ceOp85nVDd+bsvG9KRvfm7LxvSkb35vSCSGQmZmJunXrPrWvpMmNubk52rZti9jYWPTu3RtA0YLi2NhYREVFlbpPYGAgYmNjMXLkSFXbjh07EBgYWGp/CwsLWFhYlGh3cHDgh6YM9vb2fG/KwPembHxvysb3pmx8b8rG96akig5KSD4tFR0djYiICLRr1w4BAQGYNWsWsrOzMWjQIABAeHg43N3dERMTAwAYMWIEQkJCMGPGDPTs2ROrV6/GkSNHsGjRIilPg4iIiAyE5MlN//79cefOHUyYMAHJyclo1aoV/vzzT9Wi4cTERJiY/HdRV1BQEFatWoXPP/8c48aNg6+vL3777Te0aNFCqlMgIiIiAyJ5cgMAUVFRZU5D7dmzp0Rb37590bdvX41ey8LCAhMnTix1qqq643tTNr43ZeN7Uza+N2Xje1M2vjdVJ/lN/IiIiIi0SfLyC0RERETaxOSGiIiIZIXJDREREclKtUtu5s6dC29vb1haWqJDhw44dOiQ1CEZhLi4OLz44ouoW7cuFAoFfvvtN6lDMggxMTFo37497Ozs4OLigt69e+PChQtSh2UQ5s+fDz8/P9W9OAIDA7F161apwzJIX375JRQKhdr9uaqrSZMmQaFQqD2aNGkidVgG49atW3j77bdRq1YtWFlZoWXLljhy5IjUYRmdapXcrFmzBtHR0Zg4cSKOHTsGf39/hIWFITU1VerQJJednQ1/f3/MnTtX6lAMyt69exEZGYm///4bO3bswKNHj/Dcc88hOztb6tAk5+HhgS+//BJHjx7FkSNH0LVrV7z88ss4e/as1KEZlMOHD2PhwoXw8/OTOhSD0bx5cyQlJakef/31l9QhGYQHDx6gU6dOMDMzw9atW3Hu3DnMmDEDNWvWlDo04yOqkYCAABEZGal6XlhYKOrWrStiYmIkjMrwABAbNmyQOgyDlJqaKgCIvXv3Sh2KQapZs6ZYvHix1GEYjMzMTOHr6yt27NghQkJCxIgRI6QOSXITJ04U/v7+UodhkMaMGSOeeeYZqcOQhWozcpOfn4+jR4+iW7duqjYTExN069YN8fHxEkZGxqS4qryTk5PEkRiWwsJCrF69GtnZ2WWWQqmOIiMj0bNnT7XfOwRcunQJdevWRf369fHWW28hMTFR6pAMwqZNm9CuXTv07dsXLi4uaN26Nb7//nupwzJK1Sa5uXv3LgoLC1V3Pi5Wp04dJCcnSxQVGROlUomRI0eiU6dOvCP2v06fPg1bW1tYWFhg6NCh2LBhA5o1ayZ1WAZh9erVOHbsmKp0DBXp0KEDli1bhj///BPz58/HtWvXEBwcjMzMTKlDk9zVq1cxf/58+Pr6Ytu2bfjggw/w4Ycf4scff5Q6NKNjEHcoJjIGkZGROHPmDNcHPKZx48Y4ceIE0tPTsX79ekRERGDv3r3VPsG5ceMGRowYgR07dsDS0lLqcAxKjx49VP/28/NDhw4d4OXlhbVr1+Kdd96RMDLpKZVKtGvXDtOmTQMAtG7dGmfOnMGCBQsQEREhcXTGpdqM3NSuXRumpqZISUlRa09JSYGrq6tEUZGxiIqKwubNm7F79254eHhIHY7BMDc3R8OGDdG2bVvExMTA398fs2fPljosyR09ehSpqalo06YNatSogRo1amDv3r347rvvUKNGDRQWFkodosFwdHREo0aNcPnyZalDkZybm1uJ/xg0bdqU03YaqDbJjbm5Odq2bYvY2FhVm1KpRGxsLNcIUJmEEIiKisKGDRuwa9cu+Pj4SB2SQVMqlcjLy5M6DMk9++yzOH36NE6cOKF6tGvXDm+99RZOnDgBU1NTqUM0GFlZWbhy5Qrc3NykDkVynTp1KnGriYsXL8LLy0uiiIxXtZqWio6ORkREBNq1a4eAgADMmjUL2dnZGDRokNShSS4rK0vtf07Xrl3DiRMn4OTkhHr16kkYmbQiIyOxatUqbNy4EXZ2dqr1WQ4ODrCyspI4OmmNHTsWPXr0QL169ZCZmYlVq1Zhz5492LZtm9ShSc7Ozq7EuiwbGxvUqlWr2q/XGj16NF588UV4eXnh9u3bmDhxIkxNTfHGG29IHZrkPvroIwQFBWHatGno168fDh06hEWLFmHRokVSh2Z8pL5cS9/mzJkj6tWrJ8zNzUVAQID4+++/pQ7JIOzevVsAKPGIiIiQOjRJlfaeABBLly6VOjTJDR48WHh5eQlzc3Ph7Owsnn32WbF9+3apwzJYvBS8SP/+/YWbm5swNzcX7u7uon///uLy5ctSh2Uwfv/9d9GiRQthYWEhmjRpIhYtWiR1SEaJVcGJiIhIVqrNmhsiIiKqHpjcEBERkawwuSEiIiJZYXJDREREssLkhoiIiGSFyQ0RERHJCpMbIiIikhUmN0RERCQrTG6IyKDt2bMHCoUCaWlpT+27bNkyODo66jymivL29sasWbOkDoOo2mFyQ0R6YWiJhzbJ+dyIjBGTGyIiIpIVJjdEVCGhoaGIiopCVFQUHBwcULt2bYwfPx7F5eny8vIwevRouLu7w8bGBh06dMCePXsAFE0tDRo0COnp6VAoFFAoFJg0aRIAYPny5WjXrh3s7Ozg6uqKN998E6mpqVqLe+PGjWjTpg0sLS1Rv359TJ48GQUFBartCoUCixcvxiuvvAJra2v4+vpi06ZNasfYtGkTfH19YWlpiS5duuDHH39UTZWVd24AkJOTg8GDB8POzg716tVjhWcifZC4cCcRGYmQkBBha2srRowYIRISEsSKFSuEtbW1qmrxkCFDRFBQkIiLixOXL18WX3/9tbCwsBAXL14UeXl5YtasWcLe3l4kJSWJpKQkkZmZKYQQYsmSJWLLli3iypUrIj4+XgQGBooePXqoXre4Yv2DBw+eGuPSpUuFg4OD6nlcXJywt7cXy5YtE1euXBHbt28X3t7eYtKkSao+AISHh4dYtWqVuHTpkvjwww+Fra2tuHfvnhBCiKtXrwozMzMxevRokZCQIH7++Wfh7u6uiqm8c/Py8hJOTk5i7ty54tKlSyImJkaYmJiIhISEqn47iKgcTG6IqEJCQkJE06ZNhVKpVLWNGTNGNG3aVFy/fl2YmpqKW7duqe3z7LPPirFjxwohSiYeZTl8+LAAoEoQqpLcPPvss2LatGlqfZYvXy7c3NxUzwGIzz//XPU8KytLABBbt25VnWOLFi3UjvHZZ5+pxVTWuXl5eYm3335b9VypVAoXFxcxf/78p54LEWmuhnRjRkRkbDp27AiFQqF6HhgYiBkzZuD06dMoLCxEo0aN1Prn5eWhVq1a5R7z6NGjmDRpEk6ePIkHDx5AqVQCABITE9GsWbMqxXvy5Ens378fU6dOVbUVFhbi4cOHyMnJgbW1NQDAz89Ptd3Gxgb29vaqqbELFy6gffv2ascNCAiocAyPH1uhUMDV1VWr025EVBKTGyKqsqysLJiamuLo0aMwNTVV22Zra1vmftnZ2QgLC0NYWBhWrlwJZ2dnJCYmIiwsDPn5+VqJa/LkyejTp0+JbZaWlqp/m5mZqW1TKBSqJKuqdHlsIiodkxsiqrCDBw+qPf/777/h6+uL1q1bo7CwEKmpqQgODi51X3NzcxQWFqq1JSQk4N69e/jyyy/h6ekJADhy5IjW4m3Tpg0uXLiAhg0banyMxo0bY8uWLWpthw8fVnte2rkRkXR4tRQRVVhiYiKio6Nx4cIF/Pzzz5gzZw5GjBiBRo0a4a233kJ4eDh+/fVXXLt2DYcOHUJMTAz++OMPAEU3tMvKykJsbCzu3r2LnJwc1KtXD+bm5pgzZw6uXr2KTZs24YsvvtBavBMmTMBPP/2EyZMn4+zZszh//jxWr16Nzz//vMLHeP/995GQkIAxY8bg4sWLWLt2LZYtWwYAqim60s6NiKTD5IaIKiw8PBy5ubkICAhAZGQkRowYgffeew8AsHTpUoSHh2PUqFFo3LgxevfujcOHD6NevXoAgKCgIAwdOhT9+/eHs7Mzpk+fDmdnZyxbtgzr1q1Ds2bN8OWXX+Kbb77RWrxhYWHYvHkztm/fjvbt26Njx4749ttv4eXlVeFj+Pj4YP369fj111/h5+eH+fPn47PPPgMAWFhYlHluRCQdhRD/3qSCiKgcoaGhaNWqFcsJAJg6dSoWLFiAGzduSB0KEZWCa26IiJ5i3rx5aN++PWrVqoX9+/fj66+/RlRUlNRhEVEZOC1FREajR48esLW1LfUxbdo0nb3upUuX8PLLL6NZs2b44osvMGrUKLW7EBORYeG0FBEZjVu3biE3N7fUbU5OTnByctJzRERkiJjcEBERkaxwWoqIiIhkhckNERERyQqTGyIiIpIVJjdEREQkK0xuiIiISFaY3BAREZGsMLkhIiIiWWFyQ0RERLLy/3zZuND+fY8oAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot decision boundary for pedal width vs pedal length\n",
    "plot_step = 0.01\n",
    "plot_colors = \"ryb\"\n",
    "xx, yy = np.meshgrid(np.arange(0, 7, plot_step), np.arange(0, 3, plot_step))\n",
    "plt.tight_layout(h_pad=1, w_pad=1, pad=2.5)\n",
    "\n",
    "selected_predictors = [\"petal_length\", \"petal_width\"]\n",
    "mod_dt_1 = DecisionTreeClassifier(max_depth = 3, random_state = 1)\n",
    "y_train_en = y_train.replace({'setosa':0,'versicolor':1,'virginica':2}).copy()\n",
    "mod_dt_1.fit(X_train[selected_predictors],y_train_en)\n",
    "\n",
    "pred_all = mod_dt_1.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "pred_all = pred_all.reshape(xx.shape)\n",
    "\n",
    "graph = plt.contourf(xx, yy, pred_all, cmap=plt.cm.RdYlBu)\n",
    "\n",
    "plt.xlabel(selected_predictors[0])\n",
    "plt.ylabel(selected_predictors[1])\n",
    "\n",
    "# plot test data points\n",
    "n_class = 3\n",
    "for i, color in zip(cn, plot_colors):\n",
    "    temp = np.where(y_test == i)\n",
    "    idx = [elem for elems in temp for elem in elems]\n",
    "    plt.scatter(X_test.iloc[idx, 2], X_test.iloc[idx, 3], c=color, \n",
    "                label=y_test, cmap=plt.cm.RdYlBu, edgecolor='black', s=20)\n",
    "\n",
    "plt.suptitle(\"Decision Boundary Shown in 2D with Test Data\")\n",
    "plt.axis(\"tight\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "ename": "AttributeError",
     "evalue": "module 'sklearn.metrics' has no attribute 'plot_confusion_matrix'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
      "Cell \u001b[0;32mIn[36], line 3\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[38;5;66;03m# confusion matrix\u001b[39;00m\n\u001b[1;32m      2\u001b[0m \u001b[38;5;66;03m# one versicolor misclassified\u001b[39;00m\n\u001b[0;32m----> 3\u001b[0m disp \u001b[38;5;241m=\u001b[39m \u001b[43mmetrics\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mplot_confusion_matrix\u001b[49m(mod_dt, X_test, y_test,\n\u001b[1;32m      4\u001b[0m                                  display_labels\u001b[38;5;241m=\u001b[39mcn,\n\u001b[1;32m      5\u001b[0m                                  cmap\u001b[38;5;241m=\u001b[39mplt\u001b[38;5;241m.\u001b[39mcm\u001b[38;5;241m.\u001b[39mBlues,\n\u001b[1;32m      6\u001b[0m                                  normalize\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m)\n\u001b[1;32m      7\u001b[0m disp\u001b[38;5;241m.\u001b[39max_\u001b[38;5;241m.\u001b[39mset_title(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mDecision Tree Confusion matrix, without normalization\u001b[39m\u001b[38;5;124m'\u001b[39m);\n",
      "\u001b[0;31mAttributeError\u001b[0m: module 'sklearn.metrics' has no attribute 'plot_confusion_matrix'"
     ]
    }
   ],
   "source": [
    "# confusion matrix\n",
    "# one versicolor misclassified\n",
    "disp = metrics.plot_confusion_matrix(mod_dt, X_test, y_test,\n",
    "                                 display_labels=cn,\n",
    "                                 cmap=plt.cm.Blues,\n",
    "                                 normalize=None)\n",
    "disp.ax_.set_title('Decision Tree Confusion matrix, without normalization');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The accuracy of the Guassian Naive Bayes Classifier on test data is 0.933\n"
     ]
    }
   ],
   "source": [
    "# Guassian Naive Bayes Classifier\n",
    "mod_gnb_all = GaussianNB()\n",
    "y_pred = mod_gnb_all.fit(X_train, y_train).predict(X_test)\n",
    "print('The accuracy of the Guassian Naive Bayes Classifier on test data is',\"{:.3f}\".format(metrics.accuracy_score(y_pred,y_test)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The accuracy of the Guassian Naive Bayes Classifier with 2 predictors on test data is 0.950\n"
     ]
    }
   ],
   "source": [
    "# Guassian Naive Bayes Classifier with two predictors\n",
    "mod_gnb = GaussianNB()\n",
    "y_pred = mod_gnb.fit(X_train[selected_predictors], y_train).predict(X_test[selected_predictors])\n",
    "print('The accuracy of the Guassian Naive Bayes Classifier with 2 predictors on test data is',\"{:.3f}\".format(metrics.accuracy_score(y_pred,y_test)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The accuracy of the LDA Classifier on test data is 0.983\n"
     ]
    }
   ],
   "source": [
    "# LDA Classifier\n",
    "mod_lda_all = LinearDiscriminantAnalysis()\n",
    "y_pred = mod_lda_all.fit(X_train, y_train).predict(X_test)\n",
    "print('The accuracy of the LDA Classifier on test data is',\"{:.3f}\".format(metrics.accuracy_score(y_pred,y_test)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The accuracy of the LDA Classifier with two predictors on test data is 0.933\n"
     ]
    }
   ],
   "source": [
    "# LDA Classifier with two predictors\n",
    "mod_lda = LinearDiscriminantAnalysis()\n",
    "y_pred = mod_lda.fit(X_train[selected_predictors], y_train).predict(X_test[selected_predictors])\n",
    "print('The accuracy of the LDA Classifier with two predictors on test data is',\"{:.3f}\".format(metrics.accuracy_score(y_pred,y_test)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 444.75x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# LDA with 2 predictors\n",
    "mod_lda_1 = LinearDiscriminantAnalysis()\n",
    "y_pred = mod_lda_1.fit(X_train[selected_predictors], y_train_en).predict(X_test[selected_predictors])\n",
    "\n",
    "N = 300\n",
    "X = np.linspace(0, 7, N)\n",
    "Y = np.linspace(0, 3, N)\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "\n",
    "g = sns.FacetGrid(test, hue=\"species\", height=5, palette = 'colorblind').map(plt.scatter,\"petal_length\", \"petal_width\", ).add_legend()\n",
    "my_ax = g.ax\n",
    "\n",
    "zz = np.array([mod_lda_1.predict(np.array([[xx,yy]])) for xx, yy in zip(np.ravel(X), np.ravel(Y)) ] )\n",
    "Z = zz.reshape(X.shape)\n",
    "\n",
    "#Plot the filled and boundary contours\n",
    "my_ax.contourf( X, Y, Z, 2, alpha = .1, colors = ('blue','green','red'))\n",
    "my_ax.contour( X, Y, Z, 2, alpha = 1, colors = ('blue','green','red'))\n",
    "\n",
    "# Add axis and title\n",
    "my_ax.set_xlabel('Petal Length')\n",
    "my_ax.set_ylabel('Petal Width')\n",
    "my_ax.set_title('LDA Decision Boundaries with Test Data');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The accuracy of the QDA Classifier is 0.983\n"
     ]
    }
   ],
   "source": [
    "# QDA Classifier\n",
    "mod_qda_all = QuadraticDiscriminantAnalysis()\n",
    "y_pred = mod_qda_all.fit(X_train, y_train).predict(X_test)\n",
    "print('The accuracy of the QDA Classifier is',\"{:.3f}\".format(metrics.accuracy_score(y_pred,y_test)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The accuracy of the QDA Classifier with two predictors is 0.967\n"
     ]
    }
   ],
   "source": [
    "# QDA Classifier with two predictors\n",
    "mod_qda = QuadraticDiscriminantAnalysis()\n",
    "y_pred = mod_qda.fit(X_train[selected_predictors], y_train).predict(X_test[selected_predictors])\n",
    "print('The accuracy of the QDA Classifier with two predictors is',\"{:.3f}\".format(metrics.accuracy_score(y_pred,y_test)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 444.75x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# QDA with 2 predictors\n",
    "mod_qda_1 = QuadraticDiscriminantAnalysis()\n",
    "y_pred = mod_qda_1.fit(X_train.iloc[:,2:4], y_train_en).predict(X_test.iloc[:,2:4])\n",
    "\n",
    "N = 300\n",
    "X = np.linspace(0, 7, N)\n",
    "Y = np.linspace(0, 3, N)\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "\n",
    "g = sns.FacetGrid(test, hue=\"species\", height=5, palette = 'colorblind').map(plt.scatter,\"petal_length\", \"petal_width\", ).add_legend()\n",
    "my_ax = g.ax\n",
    "\n",
    "zz = np.array([mod_qda_1.predict(np.array([[xx,yy]])) for xx, yy in zip(np.ravel(X), np.ravel(Y)) ] )\n",
    "Z = zz.reshape(X.shape)\n",
    "\n",
    "#Plot the filled and boundary contours\n",
    "my_ax.contourf( X, Y, Z, 2, alpha = .1, colors = ('blue','green','red'))\n",
    "my_ax.contour( X, Y, Z, 2, alpha = 1, colors = ('blue','green','red'))\n",
    "\n",
    "# Addd axis and title\n",
    "my_ax.set_xlabel('Petal Length')\n",
    "my_ax.set_ylabel('Petal Width')\n",
    "my_ax.set_title('QDA Decision Boundaries with Test Data');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The accuracy of the 5NN Classifier is 0.967\n"
     ]
    }
   ],
   "source": [
    "# KNN, first try 5\n",
    "mod_5nn=KNeighborsClassifier(n_neighbors=5) \n",
    "mod_5nn.fit(X_train,y_train)\n",
    "prediction=mod_5nn.predict(X_test)\n",
    "print('The accuracy of the 5NN Classifier is',\"{:.3f}\".format(metrics.accuracy_score(prediction,y_test)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# try different k\n",
    "acc_s = pd.Series(dtype = 'float')\n",
    "for i in list(range(1,11)):\n",
    "    mod_knn=KNeighborsClassifier(n_neighbors=i) \n",
    "    mod_knn.fit(X_train,y_train)\n",
    "    prediction=mod_knn.predict(X_test)\n",
    "    acc_s = acc_s.append(pd.Series(metrics.accuracy_score(prediction,y_test)))\n",
    "    \n",
    "plt.plot(list(range(1,11)), acc_s)\n",
    "plt.suptitle(\"Test Accuracy vs K\")\n",
    "plt.xticks(list(range(1,11)))\n",
    "plt.ylim(0.9,0.98);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The accuracy of the linear SVC is 1.000\n"
     ]
    }
   ],
   "source": [
    "# SVC with linear kernel\n",
    "# for SVC, may be impractical beyond tens of thousands of samples\n",
    "linear_svc = SVC(kernel='linear').fit(X_train, y_train)\n",
    "prediction=linear_svc.predict(X_test)\n",
    "print('The accuracy of the linear SVC is',\"{:.3f}\".format(metrics.accuracy_score(prediction,y_test)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The accuracy of the Poly SVC is 0.933\n"
     ]
    }
   ],
   "source": [
    "# SVC with polynomial kernel\n",
    "poly_svc = SVC(kernel='poly', degree = 4).fit(X_train, y_train)\n",
    "prediction=poly_svc.predict(X_test)\n",
    "print('The accuracy of the Poly SVC is',\"{:.3f}\".format(metrics.accuracy_score(prediction,y_test)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The accuracy of the Logistic Regression is 0.950\n"
     ]
    }
   ],
   "source": [
    "# Logistic regression\n",
    "mod_lr = LogisticRegression(solver = 'newton-cg').fit(X_train, y_train)\n",
    "prediction=mod_lr.predict(X_test)\n",
    "print('The accuracy of the Logistic Regression is',\"{:.3f}\".format(metrics.accuracy_score(prediction,y_test)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
